Convert 4.083×10^6 kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
To convert kilometers to meters, we multiply the number of kilometers by 1,000.
Therefore, 4.083×10^6 kilometers is equal to 4.083×10^6 * 1,000 meters.
Simplifying, we get 4.083×10^6 * 1,000 = 4.083×10^(6+3) = 4.083×10^9 meters.
Expressing the answer in decimal form, we get 4,083,000,000 meters.
Ali’s farmhouse has a height of 2.307×108 meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.
Note: 1 meter is equal to 100 centimeters
To convert meters to centimeters, we multiply the number of meters by 100.
Therefore, 2.307×108 meters is equal to 2.307×108 * 100 centimeters.
Simplifying, we get 2.307×108 * 100 = 2.307×10^(8+2) = 2.307×10^10 centimeters.
Expressing the answer in scientific notation, we get 2.307×10^10 centimeters.
Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E−14. What is this number in scientific notation?
The number 6.13E−14 is already in scientific notation.
In scientific notation, the number is expressed as a coefficient multiplied by 10 raised to a power. In this case, the coefficient is 6.13 and the power is -14. The negative sign indicates that the number is very small.
So, the number 6.13E−14 in scientific notation is 6.13 × 10^(-14).
Dina computed the mass of 1,000 protons in grams. The calculator displayed the number 1.67E−21. What is the mass of 1,000 protons in scientific notation?
To express the mass of 1,000 protons in scientific notation, we need to convert the number 1.67E−21 to the form of a coefficient multiplied by 10 raised to a power.
In this case, the coefficient is 1.67 and the power is -21. The negative sign indicates that the number is very small.
So, the mass of 1,000 protons in scientific notation is 1.67 × 10^(-21).
Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters.
Note: 1 meter is equal to 1,000 millimeters.
To convert the dimensions from meters to millimeters, we multiply each dimension by 1,000.
For the width: 1.25×10^(-8) meters * 1,000 = 1.25×10^(-8) * 1,000 = 1.25×10^(-8+3) = 1.25×10^(-5) millimeters.
For the length: 2.5×10^(-6) meters * 1,000 = 2.5×10^(-6) * 1,000 = 2.5×10^(-6+3) = 2.5×10^(-3) millimeters.
Therefore, the dimensions of the sticky note in millimeters are 1.25×10^(-5) millimeters wide by 2.5×10^(-3) millimeters long.
Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10^−8 meters wide by 2.5×10^−6 meters long. Use scientific notation to write the dimensions in millimeters.
Note: 1 meter is equal to 1,000 millimeters.